A Space-Vector Discrete Fourier Transform for Unbalanced and Distorted Three-Phase Signals

作者：Neves Francisco A S^*; de Souza Helber E P; Bradaschia Fabricio; Cavalcanti Marcelo C; Rizo Mario; Rodriguez Francisco J

来源：IEEE Transactions on Industrial Electronics, 2010, 57(8): 2858-2867.

DOI：10.1109/TIE.2009.2036646

• Active filters
• amplitude and phase estimation
• discrete Fourier transforms (DFTs)
• industrial power system harmonics

In this paper, a space-vector discrete-time Fourier transform is proposed for fast and precise detection of the fundamental-frequency and harmonic positive-and negative-sequence vector components of three-phase input signals. The discrete Fourier transform is applied to the three-phase signals represented by Clarke's alpha beta vector. It is shown that the complex numbers output from the Fourier transform are the instantaneous values of the positive-and negative-sequence harmonic component vectors of the input three-phase signals. The method allows the computation of any desired positive-or negative-sequence fundamental-frequency or harmonic vector component of the input signal. A recursive algorithm for low-effort online implementation is also presented. The detection performance for variable-frequency and interharmonic input signals is discussed. The proposed and other usual method performances are compared through simulations and experiments.

• 出版日期2010-8